主講人：Dragana Cvetkovi′c Ili′c，Professor at the University of Ni?, Serbia

時間：2025年6月21日14：00

地點：徐匯校區三號樓332室

舉辦單位：數理學院

主講人介紹：Dragana Cvetkovi? Ili? is a Full Professor at the University of Ni?, Serbia. She has also held distinguished roles including Distinguished Professor at Hubei Normal University, Honorary Professor at Shanghai University, Member of the Board of Directors of ILAS (International Linear Algebra Society), and Full Professor at Kuwait University. As one of the preeminent experts in the field of generalized inverses and their applications, she currently serves as a member of the Editorial Boards for multiple prestigious SCI-indexed journals, such as J. Comput. Appl. Math.) and Ann. Funct. Anal..

內容介紹：In this talk we will consider the different properties of the numerical range for a bounded linear operator from the point of view of its similarities to the numerical range of certain generalized inverses such as the Moore-Penrose inverse, Drazin inverse, DMP-inverse, MDP-inverse and CMP-inverse. We will discuss the question whether the numerical ranges of an operator and its certain generalized inverse simultaneously contain the origin as well as whether this is true in the case of the closure, boundary, extreme points and sharp points of the corresponding numerical ranges. To illustrate our results we will exhibit some umerical examples.